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Finding the Fourth Proportional to 6,468.66, 9,698.40 and 3,178.26

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Solution

The fourth proportional to 6,468.66, 9,698.40 and 3,178.26 is: 4,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.66 : 9,698.40 = 3,178.26 : x
  2. Step 2: Convert to fraction form
    6,468.66/9,698.40 = 3,178.26/x
  3. Step 3: Cross multiply
    6,468.66x = 9,698.40 × 3,178.26
  4. Step 4: Simplify right side
    6,468.66x = 30,824,036.78
  5. Step 5: Solve for x
    x = 30,824,036.78/6,468.66
  6. Step 6: Final answer
    x = 4,765.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.